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Finding the Third Proportional to 52,222 and 110,397

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Solution

The third proportional to 52,222 and 110,397 is: 233,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,222 : 110,397 = 110,397 : x
  2. Step 2: Convert to fraction form
    52,222/110,397 = 110,397/x
  3. Step 3: Cross multiply
    52,222x = 110,397 × 110,397
  4. Step 4: Simplify right side
    52,222x = 12,187,497,609
  5. Step 5: Solve for x
    x = 12,187,497,609/52,222
  6. Step 6: Final answer
    x = 233,378.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.